A modified solution for large sparse symmetric linear systems in electromagnetic field analysis

Author

Jinming, Wang ; Dexin, Xie ; Yingying, Yao ; Mohammed, Osama A.

Author_Institution

Sch. of Electr. Eng., Shenyang Univ. of Technol., Liaoning, China

Volume

37

Issue

5

fYear

2001

fDate

9/1/2001 12:00:00 AM

Firstpage

3494

Lastpage

3497

Abstract

A modified preconditioned conjugate gradient method for solution of large sparse symmetric linear equations is presented. Two controlling parameters are used to reduce the computation time of the incomplete decomposition and each iterative step of the conjugate gradient method. Theoretical analysis and numerical examples show that the method is problem-independent to a certain extent, and could decrease the computation time by 30%~50% than the conventional method

Keywords

computational complexity; conjugate gradient methods; convergence of numerical methods; eddy currents; electrical engineering computing; electromagnetic field theory; finite element analysis; computation time; conjugate gradient method; decomposition; electromagnetic field analysis; iterative step; numerical examples; preconditioned conjugate gradient method; sparse symmetric linear systems; Character generation; Eddy currents; Electromagnetic analysis; Electromagnetic fields; Equations; Gradient methods; Linear systems; Sparse matrices; Symmetric matrices; Transmission line matrix methods;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.952645

Filename

952645